For the CMB data, we use the Planck distance priors \((R,~\ell _A,~\Omega _bh^2)\)  obtained from the Planck 2018 TT,TE,EE+lowE data [1]}, [2]}. The acoustic scale \(l_A\)  is defined as
\(\ell _{A}=\left(1+z_{*}\right) \frac{\pi D_{A}\left(z_{*}\right)}{r_{s}\left(z_{*}\right)},\) 
